Abstract
The current study was devoted to explicating the impacts of heat transmission in an unsteady mixed convection flow of an upper convected Maxwell (UCM) fluid passing over a continuously stretching surface under the influence of radiation and magnetic field. Appurtenant similarity transmutations were adopted in order to express the constitutive boundary layer Equations of flow and heat transmission in non-dimensionalized form. The reduced system of partial differential Equations was solved by implementing the implicit finite difference method (IFDM). Our center of attention was to scrutinize the behavior of influential flow parameters on some significant features of flow and heat transmission, which were briefly examined, discussed, and presented in both graphical and tabular formats. Finally, a comparison was established with existing literature in limiting cases to support the present results, and a good agreement was found, corroborating our work. It was predicted that the thermal diffusion rate could be controlled by varying the Prandtl number. Moreover, a rise in radiation and magnetic field parameters reduced the skin friction coefficient and led to enhance the heat transmission rate at the surface. The outcomes of the study might have viable implementations in order to improve the quality of industrial products.
Highlights
The fact-finding concerning the flow and heat transmission over mobile surfaces has remarkable significance regardless of its relevance in various technological processes, such as fiber manufacturing in glass and polymers, metallurgy, glass blowing, paper production, hot rolling, condensation phenomena, fiber spinning, and hot rolling [1]
In order to examine the flow behavior of Maxwell fluid for velocity and temperature profiles, a rigorous numerical computation was accomplished for numerous values of parameters, which narrated the flow characteristics
A laminar dimensional mixed convectional unsteadyunder flow of fluid In and heat transmission due to two a continuous stretching sheet was analyzed theaa Maxwell effect of the current study, a laminar two dimensional mixed convectional unsteady flow of Maxwell fluid andand heatmagnetic transmission due to a continuous stretching sheet was analyzed under the effect of radiation field
Summary
The fact-finding concerning the flow and heat transmission over mobile surfaces has remarkable significance regardless of its relevance in various technological processes, such as fiber manufacturing in glass and polymers, metallurgy, glass blowing, paper production, hot rolling, condensation phenomena, fiber spinning, and hot rolling [1]. The study concerning the impacts of thermal radiation and magnetic field on mixed convective flows is a new facet in the context of stretchable surfaces. T. Hayat et al [29] proposed an analytical solution by employing the homotopy analysis method (HAM) to examine the radiation and magnetic field effects over mixed convection stagnation point flow. Some studies [36,37,38,39,40,41] employed a similarity method to investigate unsteady stretching surface at constant temperature and derive ordinary differential Equations from the time-dependent boundary layer Equations. No efforts have been made yet to find the solution of heat transmission of an unsteady mixed convection flow of Maxwellian fluids past a continuing stretched sheet in the presence of radiation and magnetic field effects.
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